Priezzhev, V. B. (1992) Exact Height Probabilities in the Abelian Sandpile Model. (Preprint)
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Abstract
We study Bak, Tang and Wiesenfeld’s Abelian sandpile model of self-organized criticality on 2D square lattice. A combinatorial method for evaluation of height probabilities is proposed. Exact analytical expression for the fractional number of sites having height 2 is obtained.
Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 19 Jun 2018 14:12 |
Last Modified: | 18 Dec 2022 12:44 |
URI: | https://dair.dias.ie/id/eprint/728 |
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